2642241361567 has 16 divisors (see below), whose sum is σ = 2722616555040. Its totient is φ = 2562340341888.

The previous prime is 2642241361547. The next prime is 2642241361597. The reversal of 2642241361567 is 7651631422462.

It is a cyclic number.

It is not a de Polignac number, because 2642241361567 - 2¹⁵ = 2642241328799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2642241361567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642241361547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110463493 + ... + 110487409.

It is an arithmetic number, because the mean of its divisors is an integer number (170163534690).

Almost surely, 2^{2642241361567} is an apocalyptic number.

2642241361567 is a deficient number, since it is larger than the sum of its proper divisors (80375193473).

2642241361567 is a wasteful number, since it uses less digits than its factorization.

2642241361567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33690.

The product of its digits is 2903040, while the sum is 49.

The spelling of 2642241361567 in words is "two trillion, six hundred forty-two billion, two hundred forty-one million, three hundred sixty-one thousand, five hundred sixty-seven".